Briles was dismissed at Baylor on May 26, 2016, for the mishandling of sexual assault issues after Baylor's regents were briefed on the results of an investigation by Philadelphia law firm Pepper Hamilton.
The Tiger-Cats started the season 0-8, leading to head coach Kent Austin resigning.
Briles built Baylor into a Big 12 power from 2008-15, but his tenure in Waco was marred by numerous off-field issues.
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Hamilton head coach June Jones made the announcement on Monday.
Two of Briles' former assistants were hired earlier this year at Southeastern University, a non-NCAA institution based in Lakeland, Fla. He led the Bears to Big 12 championships in 2013 and 2014 and coached the school's only Heisman victor, Robert Griffin III. In eight seasons at the school, Briles went 65-37 and went to six bowl games. Jones previously served as the head coach at Hawaii.
According to an independent outside report, Baylor administrators failed to follow proper procedures when dealing with sexual assault cases, actively discouraged some complainants from reporting, and in one case retaliated against a student who did report an assault. Former Commissioner Jeffrey Orridge announced the league would not allow another team to sign Cox despite him being found not guilty. It is unknown what stance the league will take with Hamilton for hiring Briles. Under Briles' tutelage, Griffin III also became the first Heisman Trophy victor in Baylor's school history in 2011.